20 cm³ of pure alcohol is added to 10 cm of a 10% alcohol solution to strengthen it to a 70% solution.
Let x represent the volume of pure alcohol (100%) in cm³ needed to be added. Hence:
x * 100% + 10 cm³ * 10% = 70% * (x + 10 cm³)
x * 1 + 10 * 0.1 = 0.7 * (x + 10)
x + 1 = 0.7x + 7
x - 0.7x = 7 - 1
0.3x = 6
x = 20 cm³
Therefore 20 cm³ of pure alcohol is added to 10 cm of a 10% alcohol solution to strengthen it to a 70% solution.
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Answer:
20 cm³
Step-by-step explanation:
how do i multiply 4000x by the square root of 42
Answer:
25922.963
Step-by-step explanation:
the square root of 42 is 6.48074069841
4000*6.48074069841 is 25922.9627936
Jada and Han order two identical pizza’s.jada ate 1/2 of hers and han ate 2/3 of his. How much pizza did they eat altogether
The amount of pizza that they eat altogether will be 7/6 pizza out of 2 pizzas.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas. This approach is used to answer the problem correctly and completely.
Jada and Han request two indistinguishable pizzas. Jada ate 1/2 of hers and Han ate 2/3 of his.
The amount of pizza that they eat altogether will be given as,
⇒ 2/3 + 1/2
Add the fraction, then we have
⇒ 2/3 + 1/2
⇒ (4 + 3) / 6
⇒ 7 / 6
The amount of pizza that they eat by and large will be 7/6 pizza out of 2 pizzas.
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A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people altogether and the theater collected $272.00 at the end of the day, how many
of them were adults?
A. 29 adults
B. 16 adults
C. 24 adults
D.10 adults
Answer:
C.24
Step-by-step explanation:
First multiply 8 by 24 this is so you know how much 24 adults would be. You will get 192 so next you need to subtract 192 from the total money 272 to get 80 and 80 should be how much all of the kids cost now to check and make sure there are 40 people divide 80 by 5 to get 16 which is the total number of kids no just add 16 and 24 together to get 40
AB:BD = 3:4
AC:CD = 3:2
Work out AB:BC:CD
Answer:
15:6:14
Step-by-step explanation:
AB:BD is split into a total of 3+4=7 parts.
AC:CD is split into a total of 3+2=5 parts.
So, if the two ratios are put on a number line together with the points A, B, C, and D, the number line would be split into a total of 35 parts (the LCM of 7 and 5).
AB would be (3/7)*35=15.
CD would be (2/5)*35=14
BC would be 35-(15+14)=6
So, the ratio is 15:6:14.
What is logistic growth? Why would it be good if human population growth followed a logistic growth pattern in the future?
The population of earth growing in logistic pattern will be helpful because it will help the human population to grow gradually to approach the carrying capacity of earth and without making any burden on it.
What is logistic growth?In logistic growth the population at first increases at slow rate and then at high then it stops when resources start depleting.
When population on earth will follow the logistic growth pattern, the people leaving can have enough resources to use, and it will in a way can a make a better community without war or disturbance.
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Write 23/18 as a decimal.
Answer:
hi
Step-by-step explanation:
the answer would be 1.2778
7 grade math hellp me
Answer:
32
Step-by-step explanation:
180 - 148 = 32
I hope this helps!
x - y = 3
b) Work out the value of 2x – 2y
The wheels on Jamie's bicycle are 3 feet
in diameter. Her younger sister Josie has
a bike with 12-inch wheels. What is the
ratio of Jamie's bike wheels to Josie's
bike wheels?
Answer:
a ratio of 3 or also 3/1 is a fraction is wanted
calculate the area please help
Answer:
99 cm²Step-by-step explanation:
To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2
(11 * 18) : 2 =
198 : 2 =
99 cm²
Every day, Lindsey’s orange juice stand uses 1 ½ bags of oranges. How many days will 4 ½ bags of oranges last?
What Operation please!
find the value of n n+150+7+100=200+50+27
Answer:
Step-by-step explanation:
n+150+7+100=200+50+27
n+257 = 277
n = 277 - 257
n = 20
Answer:
20
Step-by-step explanation:
hope it will help goodbye.if there is any other question feel free to ask
Segments CD, GH, and JK intersect point A.
Answer: HK
Step-by-step explanation:
find the discriminant of -2x^2+8=x^2-28
show work please
Answer:
432
Step-by-step explanation:
Use the values of A, B, C to find the discriminant
13*100 i am tired rn
Answer: 1300
Step-by-step explanation:
13*10 = 130*10=1300
Answer:
1300
Step-by-step explanation:
same bro I getting paid from doing people homework
Determine whether f(x) = 5x^2-20x+ 3 has a maximum or a minimum value and find that value.
PLEASE HELP I’ll mark brainliest
Answer:
Answer in the attachment, as it wasn't letting me answer it, saying rude words.
B. Direction: Rewrite the each of the following using EXPONENTS.
Example: Two to the seventh power =2⁷ 7 × 7 × 7 = 7³
5) six with the exponent
6) 10 × 10 × 10
7) 3 × 3 × 3 × 3
5) 6 with the exponent.
6 can be with any exponent (since you haven't given it) like, 6¹, 6², 6³, 6⁴ etc. But, since the value is not given..it'll most probably be 6¹.
6) 10 × 10 × 10 = 10³
7) 3 × 3 × 3 × 3 = 3⁴
_____
Hope it helps ⚜
A number decreased by five is six less than twice the number. Find the number. Show work.
Answer:
The number is 1
Step-by-step explanation:
let the number be n
n-5=2n-6
n-2n=-6+5
-n=-1
n=1
A painter uses 15 gallons of interior paint to cover 300 square yards of wall and ceiling space. On a different job, he uses 8 gallons to cover 160 square yards. No paint is left over on either job. How many gallons of paint are needed to cover 1 square yard?
Answer:
.05
Step-by-step explanation:
300/15
20 sqr yrds per gal
1/20
1/20 or .05 Gal per sqr yrd
please answer for 30 points
Answer:
(2,-2)
Step-by-step explanation:
but it says fifteen and the answer is the first one
Answer:
I believe its A. im not 100 % im sorry if its wrong
Use distribution property to this expression
6( 5 —q) what is the answer plzzzzzz helpppppp meeeee
Step-by-step explanation:
All the steps are in the pictures. If you have any questions let me know and I'll explain in simple terms :)
Tell which value of the variable is the solution of the equation.
s−4.3=0; s=4.3, 4.4, 4.5, 4.6
Question content area bottom
Part 1
Which of the following is the solution of the equation?
A. 4.3
B. 4.5
C. 4.4
D. 4.6
E. No solution is given in the set of values
Answer:
a
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.shshs
A store clerk sold 25 Mathematics books and 10 English books for a total of $855. If she had sold 10 Mathematics books and 40 English books, she would have got $135 more. form a pair of linear equations and calculate the price of each book.
Answer:
855+135=990
90x11=990
10x11=110
25x11=275
110+275=385 990+110=1100
385+1100=1485
1485/11=135
the math books was $11 each so all to gether it is $275.
the english books was $65 each so all to gether it is 715.
275+715=990
Step-by-step explanation:
The required price of a Mathematics book is $27 and the price of an English book is $18.
What is the equation model?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Let's assume that the price of a Mathematics book is x dollars and the price of an English book is y dollars. Then we can form two equations based on the given information:
Equation 1: 25x + 10y = 855
This equation represents the total amount earned by selling 25 Mathematics books and 10 English books for $855.
Equation 2: 10x + 40y = 990
This equation represents the total amount that would have been earned by selling 10 Mathematics books and 40 English books for $135 more than the original total.
To solve for x and y, we can use elimination or substitution. Let's use elimination:
Multiplying Equation 1 by 4, we get:
100x + 40y = 3420
Now, we can subtract Equation 2 from this equation to eliminate y:
90x = 2430
x = 27
Substituting x = 27 into Equation 1, we can solve for y:
25(27) + 10y = 855
675 + 10y = 855
10y = 180
y = 18
Therefore, the price of a Mathematics book is $27 and the price of an English book is $18.
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bru how i do these 2 ?
what is the area and perimeter of the figure with the given vertices? (7,8) , (-5, -8) , (7,-8) , (-5,8)?
Answer:
perimeter: 56 unitsarea: 192 square unitsStep-by-step explanation:
We assume you're interested in the convex polygon, so the given vertices are not listed in order around the figure.
The figure is 12 units by 16 units, so has a perimeter of ...
P = 2(L +W)
P = 2(16 +12) = 56 . . . . units
and an area of ...
A = LW
A = (16)(12) = 192 . . . . square units
Choose the best selection for the quadrilateral with vertices at the following points: (-2,0), (0,4), (4,0), (6,4) Hint: Start by graphing the points. Distance Formula: d= (x2 – x1)2 + (y2 – yı)? + B. Parallelogram a. Rectangle D. Trapezoid Rhombus
The best selection for the quadrilateral with the given vertices is: parallelogram.
Recall:
Parallel lines are lines do not intersect and they are equal distant apart.
The opposite side of a parallelogram are of equal length.
Thus, the points of the vertices of the quadrilateral has been graphed in the diagram shown below:
Point A (-2,0)
Point B (0,4)
Point C (6,4)
Point D (4,0)
Find the distance between each vertices using the distance formula: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Distance between Point A (-2,0) and Point B (0,4):
[tex]AB = \sqrt{(0 -(-2))^2 + (4 - 0)^2} \\\\\mathbf{AB = \sqrt{20} }[/tex]
Distance between Point B (0,4) and Point C (6,4):
[tex]BC = \sqrt{(6 - 0)^2 + (4 - 4)^2} \\\\\mathbf{BC = 6 }[/tex]
Using the same distance formula, CD = √20 while AD = 6
This means that the opposite sides of the quadrilateral with the given vertices are equal in length. Parallelogram has two pairs of equal sides.
Therefore, the best selection for the quadrilateral with the given vertices is: parallelogram.
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write as an expression: Fifteen more than the quotient of 24 and a number x. then evaluate when x equals 8
Answer:
18
Step-by-step explanation:
The expression would be 24/x + 15. 24 divided by 8 is 3 and 3 plus 15 is 18.
1092 is what percent of 1140
%95.79 because it is
Is 7,301,771 divisible by 6?
[tex]\huge\boxed{Hi\: there!}[/tex]
[tex]\huge\mathfrak{Question:}[/tex]
Is 7,301,771 divisible by 6?
[tex]\huge\mathfrak{Answer:}[/tex]
No.
Remember, divisible by means the given number can be divided by a number without a remainder.
If we divide 7,301,771 by 6, we will get a remainder.
[tex]\huge\boxed{Therefore,\: 7,301,771 \: isn't \: divisible\: by 6.}[/tex]
[tex]\huge\mathfrak{Good\: luck!}\\\huge\bold {~CheerfulTeen}[/tex]
What is the area of triangle ABC? pls help i need to pass this test!!
Answer:
Step-by-step explanation:
